40087547136 has 1152 divisors, whose sum is σ = 162190909440. Its totient is φ = 9459597312.

The previous prime is 40087547117. The next prime is 40087547179. The reversal of 40087547136 is 63174578004.

40087547136 is a `hidden beast` number, since 400 + 8 + 75 + 47 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×40087547136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40087547091 and 40087547100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245935791 + ... + 245935953.

It is an arithmetic number, because the mean of its divisors is an integer number (140790720).

Almost surely, 2^40087547136 is an apocalyptic number.

40087547136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40087547136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81095454720).

40087547136 is an abundant number, since it is smaller than the sum of its proper divisors (122103362304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40087547136 is a wasteful number, since it uses less digits than its factorization.

40087547136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40087547136 in words is "forty billion, eighty-seven million, five hundred forty-seven thousand, one hundred thirty-six".